{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T17:14:01Z","timestamp":1742922841852,"version":"3.40.3"},"publisher-location":"Cham","reference-count":20,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319937120"},{"type":"electronic","value":"9783319937137"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-93713-7_3","type":"book-chapter","created":{"date-parts":[[2018,6,12]],"date-time":"2018-06-12T00:19:02Z","timestamp":1528762742000},"page":"37-47","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Circular Function-Based Gas-Kinetic Scheme for Simulation of Viscous Compressible Flows"],"prefix":"10.1007","author":[{"given":"Zhuxuan","family":"Meng","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liming","family":"Yang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Donghui","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chang","family":"Shu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Weihua","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,6,12]]},"reference":[{"key":"3_CR1","unstructured":"Anderson, J.D.: Computational Fluid Dynamics: The Basics with Application. McGraw-Hill, New York (1995)"},{"key":"3_CR2","first-page":"1","volume-title":"Computational Fluid Dynamics: Principles and Applications","author":"J. Blazek","year":"2001","unstructured":"Blazek, J.: Computational Fluid Dynamics: Principles and Applications. Elsevier Science, Oxford (2001)"},{"key":"3_CR3","doi-asserted-by":"publisher","DOI":"10.1007\/b79761","volume-title":"Riemann Solvers and Numerical Methods for Fluid Dynamics","author":"EF Toro","year":"2009","unstructured":"Toro, E.F.: Riemann Solvers and Numerical Methods for Fluid Dynamics. Springer, Heidelberg (2009). https:\/\/doi.org\/10.1007\/b79761"},{"issue":"6","key":"3_CR4","doi-asserted-by":"publisher","first-page":"887","DOI":"10.4208\/aamm.2015.m1172","volume":"8","author":"LM Yang","year":"2016","unstructured":"Yang, L.M., Shu, C., Wu, J.: A hybrid lattice Boltzmann flux solver for simulation of viscous compressible flows. Adv. Appl. Math. Mech. 8(6), 887\u2013910 (2016)","journal-title":"Adv. Appl. Math. Mech."},{"key":"3_CR5","doi-asserted-by":"publisher","first-page":"190","DOI":"10.1016\/j.compfluid.2013.03.020","volume":"79","author":"LM Yang","year":"2013","unstructured":"Yang, L.M., Shu, C., Wu, J.: A moment conservation-based non-free parameter compressible lattice Boltzmann model and its application for flux evaluation at cell interface. Comput. Fluids 79, 190\u2013199 (2013)","journal-title":"Comput. Fluids"},{"issue":"1","key":"3_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.4208\/aamm.OA-2016-0029","volume":"9","author":"Z Chen","year":"2017","unstructured":"Chen, Z., Shu, C., Wang, Y., Yang, L.M., Tan, D.: A simplified lattice Boltzmann method without evolution of distribution function. Adv. Appl. Math. Mech. 9(1), 1\u201322 (2017)","journal-title":"Adv. Appl. Math. Mech."},{"key":"3_CR7","doi-asserted-by":"publisher","first-page":"2069","DOI":"10.1016\/j.camwa.2016.03.027","volume":"71","author":"LM Yang","year":"2016","unstructured":"Yang, L.M., Shu, C., Wu, J.: Extension of lattice Boltzmann flux solver for simulation of 3D viscous compressible flows. Comput. Math. Appl. 71, 2069\u20132081 (2016)","journal-title":"Comput. Math. Appl."},{"key":"3_CR8","doi-asserted-by":"publisher","first-page":"540","DOI":"10.1016\/j.jcp.2013.08.025","volume":"255","author":"LM Yang","year":"2013","unstructured":"Yang, L.M., Shu, C., Wu, J., Zhao, N., Lu, Z.L.: Circular function-based gas-kinetic scheme for simulation of inviscid compressible flows. J. Comput. Phys. 255, 540\u2013557 (2013)","journal-title":"J. Comput. Phys."},{"key":"3_CR9","doi-asserted-by":"publisher","first-page":"322","DOI":"10.1016\/j.jcp.2015.03.058","volume":"295","author":"LM Yang","year":"2015","unstructured":"Yang, L.M., Shu, C., Wu, J.: A three-dimensional explicit sphere function-based gas-kinetic flux solver for simulation of inviscid compressible flows. J. Comput. Phys. 295, 322\u2013339 (2015)","journal-title":"J. Comput. Phys."},{"key":"3_CR10","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1016\/0021-9991(80)90107-2","volume":"34","author":"DI Pullin","year":"1980","unstructured":"Pullin, D.I.: Direct simulation methods for compressible inviscid ideal-gas flow. J. Comput. Phys. 34, 231\u2013244 (1980)","journal-title":"J. Comput. Phys."},{"key":"3_CR11","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1016\/0045-7930(94)90050-7","volume":"23","author":"JC Mandal","year":"1994","unstructured":"Mandal, J.C., Deshpande, S.M.: Kinetic flux vector splitting for Euler equations. Comput. Fluids 23, 447\u2013478 (1994)","journal-title":"Comput. Fluids"},{"key":"3_CR12","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1006\/jcph.1993.1198","volume":"109","author":"KH Prendergast","year":"1993","unstructured":"Prendergast, K.H., Xu, K.: Numerical hydrodynamics from gas-kinetic theory. J. Comput. Phys. 109, 53\u201366 (1993)","journal-title":"J. Comput. Phys."},{"key":"3_CR13","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1006\/jcph.1999.6400","volume":"158","author":"D Chae","year":"2000","unstructured":"Chae, D., Kim, C., Rho, O.H.: Development of an improved gas-kinetic BGK scheme for inviscid and viscous flows. J. Comput. Phys. 158, 1\u201327 (2000)","journal-title":"J. Comput. Phys."},{"key":"3_CR14","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1006\/jcph.2001.6790","volume":"171","author":"K Xu","year":"2001","unstructured":"Xu, K.: A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method. J. Comput. Phys. 171, 289\u2013335 (2001)","journal-title":"J. Comput. Phys."},{"key":"3_CR15","doi-asserted-by":"publisher","first-page":"100","DOI":"10.1016\/S0021-9991(03)00255-9","volume":"190","author":"K Xu","year":"2003","unstructured":"Xu, K., He, X.Y.: Lattice Boltzmann method and gas-kinetic BGK scheme in the low-Mach number viscous flow simulations. J. Comput. Phys. 190, 100\u2013117 (2003)","journal-title":"J. Comput. Phys."},{"key":"3_CR16","doi-asserted-by":"crossref","unstructured":"Guo, Z.L., Shu, C.: Lattice Boltzmann Method and Its Applications in Engineering. World Scientific Publishing, Singapore (2013)","DOI":"10.1142\/8806"},{"issue":"3","key":"3_CR17","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1016\/0370-1573(92)90090-M","volume":"222","author":"R. Benzi","year":"1992","unstructured":"Benzi, R., Succi, S., Vergassola, M.: The lattice Boltzmann equation: theory and application. Phys. Rep. 222, 145\u2013197 (1992)","journal-title":"Physics Reports"},{"key":"3_CR18","doi-asserted-by":"publisher","first-page":"511","DOI":"10.1103\/PhysRev.94.511","volume":"94","author":"PL Bhatnagar","year":"1954","unstructured":"Bhatnagar, P.L., Gross, E.P., Krook, M.: A model for collision processes in gases. I: small amplitude processes in charged and neutral one-component systems. Phys. Rev. 94, 511\u2013525 (1954)","journal-title":"Phys. Rev."},{"key":"3_CR19","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1016\/0021-9991(81)90128-5","volume":"43","author":"PL Roe","year":"1981","unstructured":"Roe, P.L.: Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43, 357\u2013372 (1981)","journal-title":"J. Comput. Phys."},{"key":"3_CR20","unstructured":"Slater, J.W.: RAE 2822 Transonic Airfoil: Study #1. https:\/\/www.grc.nasa.gov\/www\/wind\/val-id\/raetaf\/raetaf.html"}],"container-title":["Lecture Notes in Computer Science","Computational Science \u2013 ICCS 2018"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-93713-7_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,12]],"date-time":"2022-06-12T00:02:52Z","timestamp":1654992172000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-93713-7_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9783319937120","9783319937137"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-93713-7_3","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2018]]},"assertion":[{"value":"12 June 2018","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ICCS","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Computational Science","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Wuxi","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"China","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2018","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"11 June 2018","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"13 June 2018","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"18","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"iccs-computsci2018","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.iccs-meeting.org\/iccs2018\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"406","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"148","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"60","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"36% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}]}}